System for Reducing Crest Factor and Peak to Average Power Ratio

1. A method comprising: determining first data comprising a first plurality of bits, wherein the first plurality of bits are associated with a first peak-to-average-power ratio (PAPR); determining a first lookup table, the determining the first lookup table comprising: determining a modulation order “M” indicative of a number of symbols available for modulation; determining M entries of input bits, wherein each entry of input bits has a width of log(2)(M) bits; determining M entries of output bits, wherein each entry of output bits has a width of log(2)(M) bits; and associating individual ones of the entries of input bits with individual ones of the entries of output bits; determining, using the first data and the first lookup table, second data, wherein the second data is associated with a second PAPR that is less than the first PAPR, and the second data comprises an identifier indicative of the first lookup table; determining third data by performing a peak cancellation on the second data; and generating an analog signal based on the third data.

2. The method of claim 1 , wherein: the determining the M entries of input bits comprises: determining a first entry of input bits; and determining a second entry of input bits; the determining the M entries of output bits comprises: determining a first entry of output bits; and determining a second entry of output bits; the associating the individual ones of the entries of the input bits with the individual ones of the entries of the output bits comprises: associating the first entry of the input bits with the first entry of output bits; and associating the second entry of the input bits with the second entry of the output bits; and wherein the determining the first lookup table further comprises: determining a first power associated with the first entry of the output bits; and determining a second power associated with the second entry of the output bits, wherein the second power is greater than the first power.

3. The method of claim 1 , wherein: the associating the individual ones of the entries of input bits with the individual ones of the entries of output bits is based on a power associated with each of the individual one of the entries of the output bits.

4. The method of claim 1 , the determining the second data further comprising: processing output from the first lookup table with a forward error correction algorithm.

5. The method of claim 1 , the determining the second data further comprising: determining, using the first data and a second lookup table, fourth data, wherein: the second lookup table associates the M entries of input bits with second M entries of output bits that are different from the M entries of output bits; and determining the fourth data is associated with a third PAPR that is greater than the first PAPR.

6. The method of claim 1 , further comprising: determining the second PAPR is greater than a first threshold, wherein the determining the third data is performed responsive to the determining the second PAPR is greater than the first threshold; determining a third PAPR associated with the third data; and determining the third PAPR is less than a second threshold, wherein the generating the analog signal is performed responsive to the third PAPR being less than the second threshold.

7. A method comprising: determining first data, wherein the first data comprises a first sequence of bits; determining a first lookup table, wherein the first lookup table comprises: a first entry of input bits; and a first entry of output bits that is associated with the first entry of input bits; determining, using the first data and the first lookup table, second data; determining a first peak-to-average-power ratio (PAPR) associated with the second data; determining a second lookup table; determining, using the first data and the second lookup table, third data; determining a second PAPR associated with the third data; determining the second PAPR is less than the first PAPR; and determining fourth data by processing the third data with a first Fourier transform algorithm.

8. The method of claim 7 , the determining the first PAPR comprising: processing the second data with the first Fourier transform algorithm to determine first output; calculating the first PAPR using the first output; and the determining the second PAPR comprising: processing the third data with the first Fourier transform algorithm to determine second output; and calculating the second PAPR using the second output.

9. The method of claim 7 , wherein: the determining the second data comprising: determining a match between the first sequence of bits and the first entry of input bits; and providing the first entry of output bits as the second data.

10. The method of claim 7 , further comprising: determining an amplitude of the fourth data exceeds a first threshold that is associated with operation of a power amplifier; determining fifth data by performing a peak cancellation on the fourth data; and generating an analog signal based on the fifth data.

11. The method of claim 7 , further comprising: determining an amplitude of the fourth data exceeds a first threshold that is associated with operation of a power amplifier; determining fifth data by performing a circular clipping on the fourth data; and generating an analog signal based on the fifth data.

12. The method of claim 7 , further comprising: determining input data; and determining the first data by processing the input data using a forward error correction algorithm.

13. A system comprising: a first memory storing first data; a processor to: determine, based on the first data, second data using a first lookup table, wherein the second data has a second peak-to-average-power ratio (PAPR) that is less than a first PAPR of the first data; determine the second PAPR is greater than a first threshold value; and determine, based on the second data, third data that is associated with a third PAPR that is less than a second threshold value; a digital to analog converter (DAC) that accepts the third data as input and generates a first analog signal; and a power amplifier that accepts as input the first analog signal and generates as output a second analog signal.

14. The system of claim 13 , wherein the first lookup table comprises: M entries of input bits, wherein M is a modulation order indicative of a number of symbols available for modulation and each entry has a width of log(2)(M) bits; M entries of output bits, wherein each entry has a width of log(2)(M) bits; and individual ones of the entries of input bits are associated with individual ones of the entries of output bits.

15. The system of claim 13 , the processor further to: determine the first lookup table; determine, using the first data and the first lookup table, fourth data; determine a fourth PAPR associated with the fourth data; determine a second lookup table; determine, using the first data and the second lookup table, the second data; and determine the second PAPR is less than the fourth PAPR.

16. The system of claim 15 , the processor further to: determine the fourth PAPR by processing the fourth data with a Fourier transform algorithm to determine first output; calculate the fourth PAPR using the first output; determine the second PAPR by processing the second data with the Fourier transform algorithm to determine second output; and calculate the second PAPR using the second output.

17. The system of claim 13 , the processor further to: determine the first data by processing input data using a forward error correction (FEC) algorithm.

18. The system of claim 13 , the processor further to: determine an amplitude of the second data exceeds a first threshold; and determine the third data by performing a peak cancellation on the second data.

19. The system of claim 13 , the processor further to: determine an amplitude of the second data exceeds a first threshold; and determine the third data by performing a circular clipping on the second data.

20. The system of claim 13 , wherein a peak amplitude of the first analog signal is less than a threshold value of the power amplifier such that the power amplifier operates between 60% and 95% of saturation.